What is 2/3 × 2/3?
Calculate 2/3 × 2/3 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/3 × 2/3 = \frac{4}{9}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to multiply the fractions together.
When multiplying fractions, we multiply the numerators together and the denominators together.
Unlike addition, we don't need a common denominator!
\frac{2}{3} \times \frac{2}{3} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
2 × 2 = 4
\text{Numerator: } 2 \times 2 = 4
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
3 × 3 = 9
\text{Denominator: } 3 \times 3 = 9
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{3} \times \frac{2}{3} = \frac{4}{9}
Step 5
Check for Simplification
The GCF of 4 and 9 is 1, so the fraction is already in simplest form.
\frac{4}{9} \text{ (already simplified)}
Step 6
Final Answer
The result is 4/9
As a decimal: 0.444444
\frac{2}{3} \times \frac{2}{3} = \frac{4}{9}